Universal Dynamics of Stochastically Driven Quantum Impurities

We show that the dynamics of a quantum impurity subject to a stochastic drive on one side and coupled to a quantum critical system on the other display a universal behavior inherited from the quantum critical scaling. Using boundary conformal field theory, we formulate a generic ansatz for the dynam...

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Published inPhysical review letters Vol. 123; no. 23; p. 230604
Main Authors Berdanier, William, Marino, Jamir, Altman, Ehud
Format Journal Article
LanguageEnglish
Published United States 06.12.2019
Online AccessGet more information
ISSN1079-7114
DOI10.1103/PhysRevLett.123.230604

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Abstract We show that the dynamics of a quantum impurity subject to a stochastic drive on one side and coupled to a quantum critical system on the other display a universal behavior inherited from the quantum critical scaling. Using boundary conformal field theory, we formulate a generic ansatz for the dynamical scaling form of the typical Loschmidt echo and corroborate it with exact numerical calculations in the case of a spin impurity driven by shot noise in a quantum Ising chain. We find that due to rare events the dynamics of the mean echo can follow very different dynamical scaling than the typical echo for certain classes of drives. Our results are insensitive to irrelevant perturbations of the bulk critical model and apply to all the microscopic models in the same universality class.
AbstractList We show that the dynamics of a quantum impurity subject to a stochastic drive on one side and coupled to a quantum critical system on the other display a universal behavior inherited from the quantum critical scaling. Using boundary conformal field theory, we formulate a generic ansatz for the dynamical scaling form of the typical Loschmidt echo and corroborate it with exact numerical calculations in the case of a spin impurity driven by shot noise in a quantum Ising chain. We find that due to rare events the dynamics of the mean echo can follow very different dynamical scaling than the typical echo for certain classes of drives. Our results are insensitive to irrelevant perturbations of the bulk critical model and apply to all the microscopic models in the same universality class.
Author Marino, Jamir
Berdanier, William
Altman, Ehud
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  organization: Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA
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  givenname: Jamir
  surname: Marino
  fullname: Marino, Jamir
  organization: Department of Quantum Matter Physics, University of Geneva, 1211, Geneva, Switzerland
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  givenname: Ehud
  surname: Altman
  fullname: Altman, Ehud
  organization: Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA
BackLink https://www.ncbi.nlm.nih.gov/pubmed/31868487$$D View this record in MEDLINE/PubMed
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Snippet We show that the dynamics of a quantum impurity subject to a stochastic drive on one side and coupled to a quantum critical system on the other display a...
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